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Some research interests
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Preprints
32. Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction
with Mónica Clapp and Alberto Saldaña. [arxiv]
with Mónica Clapp and Alberto Saldaña. [arxiv]
31. Boundary controllability of time-discrete parabolic systems: a moments method approach
with Franck Boyer. [HAL]
with Franck Boyer. [HAL]
30. L^p-estimates, controllability and local-well posedness for backward SPDEs
with Kévin Le Balc'h and Liliana Peralta. [arxiv]
with Kévin Le Balc'h and Liliana Peralta. [arxiv]
29. A strong unique continuation property for weakly coupled elliptic systems
with Mónica Clapp and Alberto Saldaña. [arxiv]
with Mónica Clapp and Alberto Saldaña. [arxiv]
28. Controllability issues for parabolic-elliptic systems involving nonlocal couplings
with Kuntal Bhandari. [arxiv]
with Kuntal Bhandari. [arxiv]
27. FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
with Sven Jarohs, Alberto Saldaña and Leonard Sinsch. [arxiv]
with Sven Jarohs, Alberto Saldaña and Leonard Sinsch. [arxiv]
26. Insensitizing control problems for the stabilized Kuramoto-Sivashinsky system
with Kuntal Bhandari. [arxiv]
with Kuntal Bhandari. [arxiv]
Published papers
25. Controllability of some semilinear shadow reaction-diffusion systems
with Alberto Peña-García
In press in Asymptotic Analysis. [arxiv]
with Alberto Peña-García
In press in Asymptotic Analysis. [arxiv]
24. Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian
with Luis Fernando López Ríos and Alberto Saldaña
Discrete and Continuous Dynamical Systems, Early Access. [Journal] [arxiv]
with Luis Fernando López Ríos and Alberto Saldaña
Discrete and Continuous Dynamical Systems, Early Access. [Journal] [arxiv]
23. Boundary controllability of a simplified stablized Kuramoto-Sivashinsky system
with Alberto Mercado and Piero Visconti
Acta Applicandae Mathematicae, 188 (2023), Paper No. 17. [Journal] [HAL]
with Alberto Mercado and Piero Visconti
Acta Applicandae Mathematicae, 188 (2023), Paper No. 17. [Journal] [HAL]
22. Global null-controllability for stochastic semilinear parabolic equations
with Kévin Le Balc'h and Liliana Peralta
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 40 (2023), no. 6, 1415--1455. [Journal] [arxiv]
with Kévin Le Balc'h and Liliana Peralta
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 40 (2023), no. 6, 1415--1455. [Journal] [arxiv]
21. Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system
Evolution Equations and Control Theory, 12 (2023), no. 2 459--501. [Journal] [arxiv]
Evolution Equations and Control Theory, 12 (2023), no. 2 459--501. [Journal] [arxiv]
20. Small order asymptotics for nonlinear fractional problems
with Alberto Saldaña
Calculus of Variations and Partial Differential Equations 61 (2022), no. 3, Paper No. 92, 26 pp. [Journal] [arxiv]
with Alberto Saldaña
Calculus of Variations and Partial Differential Equations 61 (2022), no. 3, Paper No. 92, 26 pp. [Journal] [arxiv]
19. Existence and cost of boundary controls for a degenerate/singular parabolic equation
with Umberto Biccari and Judith Vancostenoble
Mathematical Control and Related Fields, 12 (2022), no. 2, 495--530. [Journal] [arxiv]
with Umberto Biccari and Judith Vancostenoble
Mathematical Control and Related Fields, 12 (2022), no. 2, 495--530. [Journal] [arxiv]
18. Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations
with Liliana Peralta
Journal of Evolution Equations, 22 (2022), no. 1, Paper No. 23, 51 pp. [Journal] [arxiv]
with Liliana Peralta
Journal of Evolution Equations, 22 (2022), no. 1, Paper No. 23, 51 pp. [Journal] [arxiv]
17. Statistical null-controllability of stochastic nonlinear parabolic equations
with Kévin Le Balc'h and Liliana Peralta
Stochastics and Partial Differential Equations: Analysis and Computations, 10 (2022), no. 1, 190--222. [Journal] [arxiv]
with Kévin Le Balc'h and Liliana Peralta
Stochastics and Partial Differential Equations: Analysis and Computations, 10 (2022), no. 1, 190--222. [Journal] [arxiv]
16. Local-controllability of the one-dimensional nonlocal Gray-Scott model with moving controls
with Kévin Le Balc'h
Journal of Evolution equations 21 (2021), no. 4, 4539--4574. [Journal] [arxiv]
with Kévin Le Balc'h
Journal of Evolution equations 21 (2021), no. 4, 4539--4574. [Journal] [arxiv]
15. Existence and convergence of solutions to fractional pure critical exponent problems
with Alberto Saldaña
Advanced Nonlinear Studies 21 (2021), no. 4, 827--854. [Journal] [arxiv]
with Alberto Saldaña
Advanced Nonlinear Studies 21 (2021), no. 4, 827--854. [Journal] [arxiv]
14. Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations
with Pedro González Casanova
Advances in Computational Mathematics 47 (2021), no. 5, Paper No. 72, 71 pp. [Journal] [arxiv]
with Pedro González Casanova
Advances in Computational Mathematics 47 (2021), no. 5, Paper No. 72, 71 pp. [Journal] [arxiv]
13. Local null-controllability of a nonlocal semilinear heat equation
with Kévin Le Balc'h
Applied Mathematics & Optimization, 84 (2021), no. 2, 1435-1483. [Journal] [arxiv]
with Kévin Le Balc'h
Applied Mathematics & Optimization, 84 (2021), no. 2, 1435-1483. [Journal] [arxiv]
12. Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type condition
with Kuntal Bhandari and Franck Boyer
Mathematics of Control, Signals, and Systems, 33 (2021), no. 3, 413-471. [Journal] [HAL]
with Kuntal Bhandari and Franck Boyer
Mathematics of Control, Signals, and Systems, 33 (2021), no. 3, 413-471. [Journal] [HAL]
11. Carleman estimates for time-discrete parabolic equations and applications to controllability
with Franck Boyer
ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020), Paper No. 12, 43 pp. [Journal] [HAL]
with Franck Boyer
ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020), Paper No. 12, 43 pp. [Journal] [HAL]
10. Controllability of shadow reaction-diffusion systems
with Enrique Zuazua
Journal of Differential Equations, 268 (2020), no. 7, 3781-3818. [Journal] [HAL]
with Enrique Zuazua
Journal of Differential Equations, 268 (2020), no. 7, 3781-3818. [Journal] [HAL]
9. Some remarks on the Robust Stackelberg controllability for the heat equation with controls on the boundary
with Liliana Peralta
Discrete & Continuous Dynamical Systems - B, 25, no. 1, (2020), 161--190. [Journal] [arxiv]
with Liliana Peralta
Discrete & Continuous Dynamical Systems - B, 25, no. 1, (2020), 161--190. [Journal] [arxiv]
8. Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects
with Umberto Biccari
IMA Journal of Mathematical Control and Information, Volume 35, Issue 4, (2019), 1199--1235. [Journal] [HAL]
with Umberto Biccari
IMA Journal of Mathematical Control and Information, Volume 35, Issue 4, (2019), 1199--1235. [Journal] [HAL]
7. Null controllability of linear and semilinear nonlocal heat equations with an additive integral kernel
with Umberto Biccari
IMA Journal of Mathematical Control and Information, Volume 35, Issue 4, (2019), 1199--1235. [Journal] [arxiv]
with Umberto Biccari
IMA Journal of Mathematical Control and Information, Volume 35, Issue 4, (2019), 1199--1235. [Journal] [arxiv]
6. Insensitizing controls for a semilinear parabolic equation: a numerical approach
with Franck Boyer and Luz de Teresa
Mathematical Control and Related Fields, 9 (2019), no. 1, 117--158. [Journal] [HAL]
with Franck Boyer and Luz de Teresa
Mathematical Control and Related Fields, 9 (2019), no. 1, 117--158. [Journal] [HAL]
5. Greedy optimal control for elliptic problems and its application to turnpike problems
with Martin Lazar and Enrique Zuazua
Numerische Mathematik, Vol. 141, no. 2 (2019), 455--493. [Journal] [HAL]
with Martin Lazar and Enrique Zuazua
Numerische Mathematik, Vol. 141, no. 2 (2019), 455--493. [Journal] [HAL]
4. Some remarks on the hierarchic control for coupled parabolic PDEs
with Luz de Teresa
Recent Advances in PDEs: Analysis, Numerics and Control, SEMA-SIMAI Springer Series 17, (2018). [Journal]
with Luz de Teresa
Recent Advances in PDEs: Analysis, Numerics and Control, SEMA-SIMAI Springer Series 17, (2018). [Journal]
3. The Poisson equation from non-local to local
with Umberto Biccari
Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 145, pp. 1--13. [Journal] [arxiv]
with Umberto Biccari
Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 145, pp. 1--13. [Journal] [arxiv]
2. Robust Stackelberg controllability for linear and semilinear heat equations
with Luz de Teresa
Evolution Equations and Control Theory, 7 (2018), no. 2, pp. 247--273. [Journal] [arxiv]
with Luz de Teresa
Evolution Equations and Control Theory, 7 (2018), no. 2, pp. 247--273. [Journal] [arxiv]
1. Hierarchic control for a coupled parabolic system
with Luz de Teresa and Alexander Poznyak
Portugaliae Mathematica, Vol. 73, Fasc. 2, (2016), 115--137. [Journal]
Note: check the corrigendum of this paper here [corrigendum]
with Luz de Teresa and Alexander Poznyak
Portugaliae Mathematica, Vol. 73, Fasc. 2, (2016), 115--137. [Journal]
Note: check the corrigendum of this paper here [corrigendum]
